{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from kmeans_pytorch.kmeans import lloyd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/polaris-nn/anaconda3/envs/NN/lib/python3.6/site-packages/matplotlib/figure.py:459: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.random.randn(1000, 2)\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(X[:, 0], X[:, 1], '.')\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/polaris-nn/anaconda3/envs/NN/lib/python3.6/site-packages/matplotlib/figure.py:459: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "choice_cluster, initial_state = lloyd(X, 3)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for i in range(3):\n",
    "\tindices = np.where(choice_cluster==i)[0]\n",
    "\tselected = X[indices]\n",
    "\tax.plot(selected[:, 0], selected[:, 1], '.', label=str(i))\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/polaris-nn/anaconda3/envs/NN/lib/python3.6/site-packages/matplotlib/figure.py:459: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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WTuAoC1/kX48xZj2wHmD58uWT/y9MUYbBUN25wsrBDf/8cO+JZLy64f4V1cyfOY2KshLP0emOdX8villcWVkeSOiyRLyVrVsRc7QpL43R0zc+heIsS3i54aDXCewb18z3zqVTAhMh/NMlH6UgjorIPIDkz2MRYzqAhb7fq4DOiHGKomTBULbisHLo6u3n8VuvoLR4cPzdS6t47JYldPX2B8b6Hb/9cZtPOpxGKYLTTH3dXfVjXvu+N6Lc9GgQXqXGBJZVz6Q/YRzFaeC1jzv5H/+2h28/l7kEtL+0RqGSjx3AG8B3gL9J/nw9Ysy/AX/tc/zeBvxZHu6tKFOSocwNUbbodOMDjc0tYVpxzOt96/oJLIEblszm8VuvGJfV7VhkF0OqSaKqoixSeGcT6++2x0zYhtLi0Q/nHC5icnC/i8gGHIfvbOAoTmTPa8BPgGqgHfiWMeaUiCwHHjXGPJT87neB7ycv9VfGmP8n0/2WL19uGhoasn8aRVGA3JKJ3BIHLzccJJ40dfhlbkmRxYaHVwVMTJubOnhxW3vOjV8mA24S3c1XXMLs8lKvN4JLY1sX9z3zkWc6s4A//u3aQD2hUZ2fSKMxZnk2Y3ONAnogzamvRoxtAB7y/f488Hwu91MUZXjkYqJZtqjCaWieNOj714QC3LvMEXCuonilsSNQCG0iE8vSj2EJXL1gBtfXzKKnL87GhoO8nQytdXsjuO/baRjj85tYUrBF4jQTWFGUtCv5mCXck6yFE9X712U4PYALgWyd2Gu+XMP37rgSgKfe3UfC90W3N0LYrNYft7Fk0G9SiGg/AEVRuGdpFSUx8RyhYadvut6/LiY5fvGssrGY7ojJ1AMgzHMffu6VvnDLQfuv5V/hu/6WP76tlo2PXO+VzyhEcvIBjDXqA1CUscOfO+DPB3CFm9+uHYUljuKYrOkBRZaw8RHH1PPitnY27mintMhiRlkJc8pLqZs/Y8g8gbFi1HwAiqIUFvmqHBkl/P35AS88tIqHbrzUawITxsLJERivJjDuen4kd7/tqrmcH0gEmtX7cXsCA2mLxAkUdNRPGFUAijJByVflSP91bJPsbpUsauZPNCufVhz5fQG+etVcppfEAk1SxhJDsqBcmsJt2SiGcwMJ/tcfrPRCOG3bIL4mNwa8rOl0ReIM2fVchrEt+5wOVQCKMkEZKhs4E37hE1Uq2rZNsmTEYIOYd1qORF7LAO/++hh18y8a8p5FMWHpwplsPzA6iVHprNkzphVz+lzmEtTTimM0tnVRW1nOfdct9JTGhmS4q9tK0+/kjVIC/mzpdIx12ed0qAJQlAnKcIuPRZWK8As0C0dY31w7h0vKS7k7Wfr52Q+izT/gKIy5F10AdKcfkzD0jUP4aDrhLxDIeXjn06O8t+cYBognHMX3xJ11lBanT6qrKCvhvT3H+HmyrWTMyi7qZyTKO5+oAlCUCcpQ2cBDmReiSkX4BVpzZzevNHawZfdRSpJlIzY1dQScuzGBh79cw7MftJIwjsJ45KbLqJk9ndc+PsTRM30pZhcbvNIS440FXu1+FwOBrl/9cZuWzu7Id+zPs3hwZTUvbmv32m26hfSGEuhh5V1RVsJT7+4bc3OQKgBFmcBEJXxlMi+kKxXhjnnq3X3EE8HVaTho8qtXzuVrdZU8/+8HsOM2iLDnSA///NEB+uM2kowIMqFe8rk4aUcjt0CAR75S47V7fOKN5oDQD2NI/45dpQCktNvM5AgO7yLCDvfJVg1UUZQxIpN5IVPZ4qjV6aHT5yiOCfGE4xu4uXYOW1tPEk84vQYSiWAhOXB2CbdeNZf3PjvuKZQwkvwvyjAUHr54VhkHTvaO4M04lE8r9soyvLfnmJfRG6YoJpGdz8IK9u6lVZHtNjOZdVzF8tS7+8bNHKQKQFEmGdn4BoYqFRG1Ou0bGFzV27bT8tD1Hbj3ub1+Hv++bzCE0jZwzcKZPHLTZTy55TM+CIVXWq79Pculfvup7IS/hWPbF8tRWH7876OxrYujZ86nvc7vLl8Y+Y7CCtZtD+n3oeTik8lHI5nhogpAUSYZ+WhM4l+d9g04q3x/lE3Yd+AKrbC5p6KshGWLKnj81iv4930nAn4Eb8WcpZ3HmOx0xTeunU9ZaREbQk3rF11cxt/fd61X1+iB9R955p+wQxjgeE9fwJYfbrLjCuy7l1Zx99KqQB5FLu99rLuA+VEFoCiTkHzV619VM4uYFUzwcqthhn0HP3h1V4qZx20kv2xRBV+9cm5acwvAgpkXcKT7fGQmsSXOKvtLC2ZkDCP9/MRZSousFEXh30FsauoI2P6/VDWDugUzeGl7u/cMWz49ygd7j3stMF2zT1HSBBauBDqS9z1ejWS0FpCiKGlZtqiCdXfVU5Rsjl5SZPHAyupIR2XUyryirMT7/MhNlznJWmmYfWFp5DUe/UoNf5xsvn753MyN6Hcd6o5UEgbHfNPY1kXLoWA00tyLLnDqIRVZgaxi1ybvN/v0JwzvfHqUzU0dGedS6OgOQFGUIXGbw2cyUdyztIqN29u9FbyAFxLpfveua+ZHZgvHLOG+66rZfaSFgbiNZUH9/Bncd111SjG1l0PlqEtiwrW+BLN01SiKLKGirMRbyfv5xZ5jPHLTZbzw0Co2N3WwseEgiYQhFhu0yZcUWYPmMMY3fj9fqAJQFCUj2Zgoli2q4C+/ebVXRqGk2AoI3CJLiNoCWAJ/eVc9tZXlnkMgJsLaO+tS7rlsUQUbHl7lNbAZSBgSBpZWV/DJoW4G4rbXvtFPkSU8dOOlKZFKLvGEYXNTB3/1O1cD8HLDQRLgzce107v9EBKJsXfYjgaqABRFyRvh3ULYdOI3FLk1h9bdVc+DK6ud/APbaUXpFl5L13jd38AmYRue+/Bz1t1VT3NnNxt3HAx4lr98+Wxur5/nRTO5bS4h1ekLjpkoah7uf/ckHb7jXfUzH6gCUBRl1FhVM4uimBUwuVgCRTGLe5dVeU7UxrYuDp0+R1HMyri6bmzr4uWGg4Fjtm3o6u1nwcxp+EvcF1nC47de4Skit6bPDUtmc0FxjHd8TunZ5aWA47ewRMCYyHmMl8N2NFAFoCjKiAhnxYazkO9dVhUoqBZuMO9PrCqyhPtXVHN3qM+un62tJ73Vv4uII7hrK8vTduPyh24+fusVAPxyzzEGEobi2GDns3VvtmAbJ+Ft7epUM9RkQhWAoijDJpwVe48vK9Z1kt6ztMox2fgSxty6+m63Mb+ZqPlQt1eALoqo0NSEgSfeaOaJb9Rz99IqBAJKJF2s/YY11weO+bNyBeOFsU5WVAEoyihSCDXfR5NwVqyByDpDQ9W9CZuJdnZ088CzW9nwcHRNHDc0de3rzQEl0J8w/PC1Xd4cwkokynQTPjaeWbnjwYgVgIjUAht9h2qAtcaYJ31jbgZeBz5PHtpsjFk30nsrSiFTKDXfR5OwwLxnaVWkk3SoujeP3bKEe5dVeT13IXOIpetsXvfTFnb6Koy6liH/93NRwuOZlTsejFgBGGP2ANcCiEgMOAS8GjH0A2PM6pHeT1EmCoVS8300SScw0z1nuhX2PUureKXhoJedm83qe9miCtbeWccDz25lIG5TlGxqH08YRJyY/+Eo4cnk5M1Evk1AXwX2G2Pa8nxdRRlT8mG6mazmhPC7GUpgRo1NpzA2rLmeTU0dKfb7oXDzAtzr7TnS4+QhGKdg3d0RPompItyzId8K4H5gQ5pz14vITqAT+BNjTEvUIBFZA6wBqK6ujhqiKKNKvkw3k9GckMu7STc2ncIY7srb/72trScDvYzdSp2TTQnni7wpABEpAb4B/FnE6SZgkTHmCxG5A3gNuDzqOsaY9cB6gOXLl+e7H4QyARlrR2o+TTeTzZyQy7sZCxNY+G8jvOvyV+qcLEo4n+RzB3A70GSMSSn3Z4w54/v8MxH5nyIy2xhzIjxWUfyMdDU+HOXhJgIZM2hLHu7c/fHxUZ8nmkDKxayV7djhKvh0fxu5+CSmOvlUAA+QxvwjIpXAUWOMEZEVOPkgJ/N4b2WSMpJVZJSAANjc1IGBQClf/3ee+GmLF14YTzY/qa0sj7xvOuEVTm5ChHjCpihmgTHEbTMhI4NyMWtlM3YkCj7d38Zk23WNJnlRACJSBnwNeMR37FEAY8zTwL3AfxGROHAOuN+YbNtAKFOZTKvIXJqfb27qCFSSfKXhIBvWXB/43uamYKVJGBQu7jXde6UTXo1tXTy55TOv7sxAwmCSNXD6k3ZpfzXJPUd6eKv5MLfXz0upfFmI5CJgM40diYKfrE72sSQvCsAY0wvMCh172vf5H4F/zMe9lKnFUKvIXJufu0LXZSCRWnBs79GelDm4fXHD94oSXjBYCsEtfWBZ4NcpyU0AxUUWPecG+Nt/2wPgtUycCEogX4xEiE9GJ/tYo5nASsGTbhWZTgC7oYR182cEygIAvOLbAcQsAv1hNzd10BBqJHJN1QzW3lkXuZswkFK8zD/OErh6wQwAPunoxm1/Wzd/BvULnLk9ueWzwP3eaj48pAKYbJnFIxXiau4ZGaoAlAlLePVYUVYS6PMKg+0LXZv/E3fW8cPXm0nYBstyGuK5OwnXZOPnvuuqPQFTFLOSzUqElxsOEreNV7ysbv6MlH6xMUvYfaTHK5Hgmn52dnTT0nmGuvkzuL1+XqBZet28i9I+72TNLFYhPn6oAlAKhkyr20xJRVFVIg2O3X3DtnY2N3Vw99IqbNfBm9w1HDp9LlL4A8FiYEm3lZ2sFW8bp148EKhvs3Z1HV29/XSePseG7YNVMKtnlXHgpNOXNm4b1r7ezLq76lmxuIIdB7owwD9/dICv1VWmmLrceWpSk5JPVAEoBUGm1W2mpKLGti46T58jFrK3u7j2/xM9fZ6gt3Fs/j9rPuIdc1fpLm/u7KTz9DmfM9epN2Mx2NDEVTK2cX529fbz2C1LnLr1jU4VzKIiizVfuSxQwCyRVAL+gmZhwR6IJopZFFlCwo6uU68ouaIKQCkIMkWDDHU+LCRXVM+gsa2LhIGYgFiCSQrNS8pLA0L+jZ2D/Wmj+pXvPtLD7iM9nqB3cXVMwkBvX9zrLGUbR6n84NVdHOvpw3aD3Yxxipclq1jaxmCJeDsIl5glrKqZ5a36O32r/kTC5v4V1cyfOW3S+ACU8UUVgDLqZOO4zBQNEnU+SkjGEzalxbGAQH5g+UIWzJxGRVkJzZ3dWNag4LWNI3RjGIgQyC5DHQ83OY9qeu62FnzsliWA4+ytm3cRz334eWAHcHPtHIBADoHf0ZxtjRxFyQZVAMqokq3jMlM0SPg8EOm4dRp5DK7wDXBRaRGramZ5VSNFgmNEHGfvsZ6+QItAP5akNhrPCV91Stdf8NH+k6z+0jze2NnpXfu9z44zu7zUe654wnD/SkeB6apfyTeqAJRRJZdEn0zRIP7zT727L9JxawHtp3oDx1oOn6GnL+6Ff4ZTEI1tmD9zGnXzZwQUwKKLy6itLOeS8lLKS4t49sPP0+4EMpGwDU+80czNtXM4P+DMwzaGn35yODBuIG6zvfVkwE/x6aFu/n3fCXrODagCUPKKKgBlVBmtbM1VNbNI9u0OUFJs8fW6Sp5+v9U7dnv9PJo7u0lHzHJW5281B4Vx26lebq+v5Gt1lTyw/iMStiEm8PCXayifVszLDQe9qB6XJXMuZN+xLyLv058wbAntMMIKxQD7jp8NHPs42fDk6fdbOXLmPE/e/xvAYO7CsZ4+5pSXerkO6XZRUaa4yZZXoOSGKgBlVMlXtmZUCOiaL9cEBP2SS6bz3RtreHBlNdWzpgfKK/i7TYW5uXYO695soW8gNXxo/Qet7D9x1sstSBjYf+Isl5SX0nH6XMr4dMLfJXyHXE1Lr3/cye9dv5g9R3q8fAaXjQ0HsZI1h/zhqOmatUcdUyUwtVAFoIw6I030SedH+N4dVwLw2seHOP5FH60nzvLET1to7uzmnqVVPLiymsa2Lp56dx+HTp9LCfH045ZuCGMb2PF5sG7hL359zMsFGCkzy4o5dXYg8lzUDsfgZDr/ZMfBlN1DPGFwn7BvwPaijdI1awc0r2CKowpAKXjS+REa27p4/lefBzJ//Ulfa1fX8cRPW7x2gZYM9ozRV520AAAgAElEQVT1c/TM+cgQUJfT5+KB34frB4ginfAHuGz2dA6c7A1ECRXFhJZD3ZFziFmQSG4xDHjfS9esnTTHlKmDKgCl4EnnR9jU1BEQ/i4GZwX8/K8+9xy/AwnDisUVXn6An50d3chQGmAEjCR6qOaSC2k9EfQHxBPGa4IugGUJS6tncsXccgBe3NbulZ2IWU5Pg5jl9Mr1m4Tclb4WU5vaqAJQCp50foSwzA6Hf+4P2eMPnT7HX37zap56bx+HuoL2+9EqTv6fKsvZfbgnZ3PRbVfN5ZGbLuP9vcfTlqn4UrJQnd+hu6mpw1OUa1fX0dzZzSuNHWzY3h5p59c6PFMbVQDKhCBKUN29tMqr7x9lLw9z6PR5/vy1XSOL58+RTw+nlpfORJElPHLTZZ7i29zUwUs72j3zjsvZvqBpKkpRPvXuPuIJtfMr0VjjPQFFGQrXidvY1pVyfGvrSb77m4udjlshoS449vLwLmEshf9wEKCqYhrrftrCi9vaWbaogr/6naupnz8jZey+42e5f/1HNLZ1ee8J4LFblnhC3jWfxQS18ysp6A5AKVj80T+WCOvuqvcie/zHExEROa4d/Mp55cNahY8XBrzcgp0duwCnQcz1NbM827+fgYTh/3jpPzhy+hy2gdLioJlHm6YoQ6EKQBkXsklA8kf/2MapnFlbWc7W1pOeXdwewu4TTxj2HJk4wj+KH762i/Xv7+dgV2/aMX5/Rv9AsH1lRVlJiuNXUVxUASijTljYZ1sfaFXNLCwRT8jbyYJqFWUlaZ2qriNYkr8UusknEwlDSrbxlZXlfHa0JzKk1UpmNfvrJLkRQf4dVC7ZwsrkRRWAMqpECfts6wMtW1QxWD7ZNpQUD7ZddMMrw+GO31q+0Knb80FrpIAcayxSs3+H4qILijhzPj7kmJIii7/85tUpmcCukO/q7Q8ktrk5AWtfbwaCzWv8yneydhxT0qMKQBlVooR9LvWBHlxZ7Zl9KspKAm0X++M2AiytnsmSueXckyyVvObHDQUh/CE34Q/Qk0H4g5PstnFHO8Zn/rrGFxLa2NblvJ8BO3B/2za81Xw4rfLNpXCfMjnImwIQkQNAD5AA4saY5aHzAvwDcAfQC/y+MaYpX/dXCpMoYZ+rY9I976+Rf+3CmTQc6CIBbD/QxX8cPA3AniM9/Hx3dEnniUA2emu3z6/h7oD8vYv977fn3ADPffi5t4O6vX4eOw6cilS+o1W4TylcxOQpAyapAJYbY06kOX8H8L/jKICVwD8YY1YOdc3ly5ebhoaGvMxPGT/yYVd+6t19/N3bezLa9N2WiQWyARh13DDX4piwYc31WfVSVh/A5EZEGsML8HSMpQnoLuDHxtE4W0VkpojMM8YczvRFZWKTj2xTd3WaLivWJW4biiwJ1M+ZLEjyP9es4y8z0Z8wbGrqSOtLyTb7VzODpxb5TAQzwNsi0igiayLOLwAO+n7vSB4LICJrRKRBRBqOHz+ex+kphcJQyV3u8fAY16zxwMpqrAx1ex668VK+fPns0Zp+RooyTXCYGMAkLx2zhOUhQT1K5YyUSUw+dwA3GGM6RWQO8I6I/NoY877vfNTfZ8oyzRizHlgPjgkoj/NTCoB0kSaBxu6WgK+uvTvGXZn+ZEe7t/KNWcE+vgL09MWZVhzLOQInX4zm7mOwx7xhydxyPu7o9mz2bkMYRcmWvCkAY0xn8ucxEXkVWAH4FUAHsND3exWQ2j1bmdSkizQJHE/WtTc4iU1PbvmMx2+9whvnylfBiWzxE4sJGxsOJmvjT36euDO1wmeYsbDrq+9gYpIXBSAi0wHLGNOT/HwbsC407A3gD0XkJRwncLfa/6ce6SJN/Mdj7g4g7oQx/mrfCXYcOMULD60KjIPU+v518y6KLJkw2bANbNjWTnHMyX1Ix1jE9mv+wMQlXz6AucCHIrIT2A78f8aYfxWRR0Xk0eSYnwGtwD7gWeC/5uneygTCteX/0W21kTVr7ltRzbeWL+SJO+u44fLZnqPTv1twv+/WwPdz6ezpY/1II0ZwGtD7ubAklvF7Bsf5+8K2du575qPItpdRO658Mxb3UEaHvOwAjDGtwDURx5/2fTbAY/m4nzKxGSrSZHOTU965KGZx0xWXUBSzSCRsYjGLQ6fP0djW5X3/7ZYjge8K0Nx5ZgyeIP/87nUL2Xu0h9c/7sQAX/Qn0o6Nam3pZvrWVjpK0U2YO3T6nPcORyu2X/MHJi6aCawUDP6VZH/cZsunRymOCV+9ci7v7TnGS9udVo/uzuG+66q9ipngCMXWDE3ZC5FYTDyhGdXXwC/wBbjx8tncXj+P5s5uNvp6AydswzO/3M/7e49771FwcgTuX1HN3clM6Xzb67Xi6MRFFYCSN0YqWMKx/gZHqJ0bSBC3jacYXKfwgyuraT95lvUftGIMaXv+FjzGqVq68+BpL9bf/xj+zyKOn+PBldUA1M+f4dUEMsDPdx9NVkkd/G7CNsyfOS2nQny5ovkDExNtCKPkBVew/N3be/j2c1tTYvyzwV1JPriympKYeE1Mbq+fR0mR5fkDPtx7wrvH1+oqeWBFNbdeNTfrQHhLYMXiioz5BGNF3IYfvLqLtz89SiKpyB79Sg1fvnx2ZEObp99vZc2PG2hs6+LBldXcd91Cb5w/Qgqc/8H9Zhm11yt+dAeg5IV8FRJzV5J3L63ydhPgtH9sOdTNJx3dGJx7PPPL/fx8tyM0Yzms/m0DN9XOoS9uF0zEkH/qtoHyacU8fusV7DhwKqWoG8Dbnx7l/b3HeeGhVdyztMrxnbjjjJMf8dCNl1I+rdh7h0+9u88rpKf2egVUASh5It+OQFcRhBPEiouSTmFL2LL7qLfizcX0I0BFWUlkl60ll0xn3/GzI5r7SClO+gTcHdGTWz7jw70nUhy/rqJ97JYl3rhf7TuBbZxEsfJpxTx2y5IUs8/a1ZlzB5SpgZqAlLyQLrxzpPh3FgnbcO+yKv7otlq+tXzhsJu9GJya+Gf6Uksv1y9I7b2bjtkXlgxvAjj9ir957fzAMQFuu2puoKjbskUV3F4/j5jl9DcWcUxEAsRig4p22aIKHr/1isj+v2Hn+lvNh1X4K4DuAJQ8MhxHYCbHcXhn4db8f3Fbe0oZCBd/kbR0DMRtTvT0BcYK8PmJ7Ff/Xb0DWY/1s+SS6fzo3mvY2noy4PB9cGU1f/U7VwfGNrZ1se7NFhK28cw6z//qcydbOhQutGxRBWtX1/FW82Fur5+X0hjeVQIf7h1MrFMlMLVRBaCMG9lEpESFGLpC0bZNSsSMCCxfVMH2A0M7oUXgvc+OezLUqasPn+TgE4hSPtnQdqrXi/qxkmGfRUUWBrw8Bxd39W5wzDoth88QT0b8JJItMv0dvdxuXzsOnKK2stxTymFTkjZ8UUBNQMo4kikixa0ICvDYLUtSOlf5Y+Pxfe6LZy4Bd9G0EuKJwZ65cy8qJWFn15AlilwCigYShh++3uxF/SBg2zYvbW/ngWe38v1Xd3lRVO7qPRwRFTbzQPB99g3YbG7q8M65JqLS4ujvKlMT3QEo48ZQjuOhdgcVZSWBOPdvXjufNz85jG0MJUUW911Xza6OXUNWAj11tt/7bIAjZ/pG9Cy5Kg7/7sE2vrr+cZsXtwUT3sI7ILdFZthstqpmFkUxy1OOLzcc9JK/QBO2lFRUASjjxlACaaiw0q7e/oDp5/MTZ71m6P7r/ODVXXnrDFYSE/qHkWXmOmzDX83kp+gbSG+iSedrWbaognuXVbFhW3ukiWio7ypTE1UAyriSTiANtTtYVTOL4qRTE2BnRze7j7Sw4eHBXYKbKfvD13Z5wrc4JtxSO8fLHYhiekmMsxF1eOaUl3L4TB+JpN9BsnA0Q/oxAlw8vcTbiURl/+48eJq/+dlup6dvcneTyXHr5gRkE46rJZyVvPUEHg20J/DUZigB9f1XdwWqXwrwJ79dy2O3LEm5xqamDgQ8c8jf/Gw3T7/fmnI/S6BmdnQeQFQBtnxhCV7BtqE2GZbAH9+W+oxhshHsWsJ58lKoPYGVcWKirvSGMlfcs7SKVxoOemaZdKtdv+PYpSci/t8S+G/fdEIwv//qYIG5qpkX0Hn6fFp/gruraD1xln2+QnROnL5gJ2sYpVMgAtywZDaP33oFe470sNZX1yd1jpKV4zYbM0++MreViY0qgEnORF3pZVJayxZVsGHN9Smr+/D3orJgN+4I7hy+dtVcHrnpMm/8bVfN5eiZ89x3XTVdvf38j3/bk3aeAjxy02XsOdITUBwG+K3aOVyzcCY95wb4qPUkLYfPkEgEhbslUJ3sBfDgympqK8vZ1NTByw0Hk53RHGIC6+6qz9u/nZZwVkAVwKQnXyu9sdxFZKu0witd93t9A06piHV31dPS2e1VFx2I22zc0Y4/SlQEbq6dw9bWk+w50uPF0ZcUWV5t/dJii/MD0XsA19EaxezyUlbVzPKeJWYJl10ync9PnPV2BZYlbNjeziZf1I/7TK4zV4D7V1R7fo18kM4BP1F3i8rwUAUwycnHSm+sdxHDVVpbW096wj5uO7H2wuCKOxazmHvRBcBgspdtYO3rzdjGBKJ1wnV21v20JaVukBA0PZX4HNNFlmOm8j+LnTAB/4JlCfHkjiD8nPXzZxCzHBNSSfHoNHxPp0An2m5RGT6qAMaR0V5tudcfafGvsbYXp1Na2ZSNiFlC3NcgxUWAe5dVcc/SKn6x55jXNN4tJxG2ufvr7ERhAQ+srA7E2W94eBWbmzow4JWsAEcxRO0gjHHKOxhjAh3PwKlVZBuDZQlrV9eNiSBWv8DUQxXAOJGv1VY6oZjP1dxY24ujzBMvbmv3Vuru8wCBMcsWVbDurvpIR2pxTDyhvNHnO6ibP4N1b7Z4OweXa6tmBMxCYQH+jWvneyWr3TlHOV/d+jzhnAQBzyfR0tnNyw0HvY5n9yyt8nX0MnT19jMWqF9g6qEKYJTItFrNx2prKCGfz9XceGSQ+oVpY1sXa19v9lb2/XGnzMGmZP9g/7O7jlR/3RsBvrV8YSAj1v8MtZXlKSaexvbTNLR1YUl0wbnPT5zNWsGGBbgl8ICvReOaHzd40UwDySze8RDEmik89RixAhCRhcCPgUrABtYbY/4hNOZm4HXg8+ShzcaYdSO9d6GSzeo7H6utoYT8aNXnHw+2tp4MCGFLBANpn92te7PjwCnv+TPZ0OsXzKC5s5uETbJAm0kmcZlIM9Gciy5g16HurBTsqppZlBZb9A/YWEnntOvQfXFbO29/etQbK5azU7nH1xBnLN+7ZgpPLfKxA4gDf2yMaRKRcqBRRN4xxnwaGveBMWZ1Hu5X8GSz+s7HamsoIZ/N9SdKxEeUAK2tLB8y4zXb9+tX1q6OsQQsy0nMKvY1UOk5N0DL4TPcXj+P2spyPth7PCsFO9Rc3mo+HBhbN++igCJTlNFkxArAGHMYOJz83CMiu4EFQFgBTBmyXX2PdLXlFywVZSUBe3Sm64+0S9RYKo90AjSTgM81IcrFtuF3r6tiwcxpQz5fLgo83Vxur5/HB3tPeL/fd13+Qj0VJRN59QGIyGLgN4BtEaevF5GdQCfwJ8aYlnzeu5AYS1uqe+1cHb6BLlEDdoqDdajvj0e4YDoH60jv6yprvxPYxgnDzBR3n4/7u/dwm7jkM9ZfUTKRt34AInIhsAl43BhzJnS6CVhkjLkG+L+B14a4zhoRaRCRhuPHj+dremPOskUVgRr2w8Wtie+GB0aRqa5+FP4685Yl2EmbdzbfH879ChVXWd94+Wyvpr8lqY7b0aKxrYuu3n4ev/UKaivLM/5bK0o+ycsOQESKcYT/C8aYzeHzfoVgjPmZiPxPEZltjDkRMXY9sB6cYnD5mF8hM5QpJduV9nDi5sPmo3VvtmTtMJ5s4YJRTuOxeKZww3tEiCc0CUsZO/IRBSTAPwG7jTF/n2ZMJXDUGGNEZAXOzmPiLhvzhBvbnrANpcWD/9M3tnWxuamD5kPdWYVyRpmcsm236B5L12QkiskYLpjrM+XDBxLYSSUMEJ0VrCijRT52ADcAvwfsEpGPk8e+D1QDGGOeBu4F/ouIxIFzwP2mkOtQjwEvbmvnz1/bNdgJamDQlPLAs1u9kgLgmCRyyYiFYFmE/gGbTU0dI3aYjmT8RCDbZ8qXD8S/k4oldwBu5NFE31UpE4N8RAF9SIaWqMaYfwT+caT3miy4iU3+yBPLckr9bm09yUCop61bLjjdyh7gvvUfEU8YimLCxjXXU1FWEnBq/qThoFNXZhgRP0qQfCXZhXcd7rX130UZKzQTeBxITWwKlvr1d7sqiYkn/N3vetE7SeGz8+Bpr7ZNPGH40Vu7ual2jtd2UMArQ9w3YPPD13Z52aZRJRWUocnUyziXdxnedej7V8YSVQDjQLrEpqfe3ceqmlmBomL182cE4vt7zg14OwfbOA3Sj545H7j+jrYuvvkbVYPmhZiFbdvEbadOvb/iZVRJBcBzDutOIZV0/gKtpqlMNFQBjCLpVoNRW39/NMi3li/k7qVVgQ5RpcWO6ebZDz/3riM44Yr3XVfNzo7BZiQY57j/Hs/8cn+w5ADOTiNcUmFTUwebmzoCcfElRRZP3OmYjVQpOET5C7SapjLRUAUwSkRl2rZ0dgdKBbvC4al39w2adRKGF7e183JjR6BHbP+A08wkYDqyBlsErlhcwY62LjBOAxP3+KHT53jml/v5+a+PBuZ361VzefSmywACJRUERyH4PfT9cTvQ7coSdIUbwWQLj1UmP6oARomwrf6HyZU8wCsNB9mw5vqUwm3uqtsNBfRjWUJpUTBvb1n1TGBw91Cc3D3UzZ/BpqYOftJw0PMNhBEG7c3h3cimpo60HbCAgP9BFcAgkzE8VpncqALIklyde/7VoMhgkxJwYr7DwvPupVWc6Onjvc+OE0/4hK/Ba2/Y3NnN9gNd/lM8ueUzT1i7wv6JN5q98sLpePvTo7y4rZ0HV1anmDPWrq7j+V99zv5jX0Q2J4dB/4MSZDKGxyqTF1UAWTAc51440/aJn7Z4kT3FsUHTzd/8bDfrP2jFNk7Ez7ULZ9LQ1uU5emO+8sEvbmv3InsAdhwIlgywgbdbjmQU/i4bd7R7tWdcBReeqwWIBYnQhsBi7MolKIoyOqgCyILhOvfCmbbP/HI/rce/oOaSCwEnGezp91u98f0JE1jhA9i2oaWzm++/uotXGjsCuQNRHP8iKJQvLivmVO9A5NhPDnXz4rZ2aivLPQVnhXYrBrg/WaHyRE8f7+05RsI2o2bjniglqhVlMqAKIAtyde6lE2LvfXac/rjNvuNneW/PMa6cd1HGexfFhJcbDjKQSO1bm4nimPC7yxcGlIwfY+DPX9vFAyuqfSWRBxuguNeonz+Drt5+7llaxSM3XRYZ/pir0I76joZRKsrYogogC8LmHDdU0u0yNVQNHjfr9tDpcwHHbn/CMOeiC4DuNHd1InuWzC3npe3tOQt/gFtq59B64uyQY2wDx3r6KClK5iWI8NCNl9LTF6eprYujPX0piWOP3bLE+34uQttvZlr3ZkvKdzSMUlHGFlUAWeIKogfWf+TZ2H/ScBAB4vZgHf1Nvhj6/gEn+se2nRINVsiWPr0khoVju4+iL25TP38GIuIs13Nky6dHmTk9s6N2Tnkpv3/9YtZ/0ErCNvzzRwf4el0lu4/0BOcz4CSO+YVytkLbryjcPrvhwmcaRqkoY4sqgBzY2noyWbXRYSBhEAbDNjc1dfBKY4e3Wjc4Nnx37LTiGOfshPf9N3Z2DrmyLymyWPdmS2RT8mywgVNnMztqX23q4Jwv8atvwOZfW46kjDPAyw0HvWbmkL15zK8ojHHMTMYEfQkaRqkoY4sqgBxYVTOL4ph4O4DimDh1dpJOUSE1ft/PuYFE4HfbONE0UeLdEifMsn+I6+WL3lDMv4G0eQAJOxjCmq3Qrigr8RzYBnjoxkspn1YcmSU9VQS/OryV8UYVQARuPX5/1u6L29p5q/kw373hUs70xRGgvLSIj1pPMueiC7ys2o07DnpRNNms26PErJWsrfreZ8cpsmRYDuB8sujiMg6fOc9AcgX/yz3HAkIrG6Hd1dvv7ZYs8IT/1taT7DnSM+XKS6jDWykEVAGEaGzrCtTjf6XhIN+94VIvkuaDvSf469+5GsBXHqGbW2rn8ODKalZ/aR6vfdw5ojm4K+V4wqbmkgvZf+yLEV1vpLSd6iUmgwpt+4Eu7lv/ERt92cwu6Va1bgE811RUUVbCt5/b6vlLplp5CXV4K4WAKoAQ4Xr8AwnDSw0HA2Peaj7MmXPB2PqNO9ppP3l2xMLfj21g3zgLf5dwblk8YdgcajIz1Ko2bCraFCo4N9UEoTq8lUJAFUCIVTWzAvX4DXA6lEh1e/083ttzDH8I58kv+tLG27tMK7b47bpK3tjZmTGha6zwx/zn9j3HIeyPgAqvatN1IdtzpCfgLIfUrmeTHXV4K4WAKoAQyxZVsOHhVTzzy/288+nRgJBaPKuMNV+5jAdXVlNbWc4v9hzz6u90nD4ffUEf5wds3tx1uGCEPzgROdliCcwsK2bJJRd6+Qm2caKGNjV1cM/SqkCLw1caO7wm52tX13mx/24YKDhF6b521VyuWThzygnCqeTwVgoTK/OQiUdjWxdPvbuPxrauzIMjWLaogkvKSwPCv8gS/u53r/Vq5yxbVMHGNdfz5ctnD90P04eBtNU5x4tMymhBxbTA2FNnB/jkUDf182dQlPRWG5ycCHAqi/7RbbV8a/lC4onB3cBbzYe93YGdDAONiVO6+pGbLuOxW5aoMFSUMWbS7QDyEV3R2NbFyz67f7hlo8uyRRU8fusVfLT/ZKB+zmRBgJ5zqXWE+gZsnv+wlTnlpd7OJ54wbGrq4K9/52rPH7DJ12fg9vp57Dhwyvt97eo6mju7s1aeiqLkn0mnAPIRXRFO+BIRaivLgWCUizt29ZfmFZRdP18Y4Mz5eOTxfcdTS0z4hXmUjbu2sjzw7lyT0KamjikT/aMohUReFICIfB34ByAGPGeM+ZvQ+VLgx8Ay4CRwnzHmQD7uHSYf0RWramYRswarYhpjvHh1t0VjcZEFxnhJYYJjJrp8zoUpJRSmAiVFllcbCaLDQdN1QZtK0T+KUkiMWAGISAx4Cvga0AHsEJE3jDGf+ob9AdBljFkiIvcDPwLuG+m9o8hHdMWyRRWsu6ueta83YxsnyqWirIS1rzd7SiGcoWtwsmTDwj/m6IlJtzvwc03VDNbeWReo6vnAs1s9Jbzh4dTVvYZBKsr4k48dwApgnzGmFUBEXgLuAvwK4C7gieTnV4B/FBExuYSg5EA+oivcSB9XkWxtPYmdYbpRZ8tKYvScT0ScicbNlp0oxCxh7Z11gJMYJ8Dxnj5PQfbHUwvIgYZBKkohkA8FsADwZ0p1ACvTjTHGxEWkG5gFnMjD/UeNsCIpilkpK3+vvIFEr/JzEf4AM6YVcfpcqt19vLi2aga7DnWTMM6zLl9cQcOBrkElZQx7jvQE2lBaIc9u86FuGtu6IpWACn5FGT/yEQYaFcgRFoXZjHEGiqwRkQYRaTh+/PiIJxfFsMNEfTsA/wMVWcKaL9cQC0u+YVBIwh/g445uLwtYkgXqxPeYtoH17+8PtKEMK8JPOrr59nNbeXFb+4jCcxVFyS/52AF0AAt9v1cB4XoI7pgOESkCZgCnoi5mjFkPrAdYvnx53q0hwwkTbWzr4sktn3n2fwuonlVG+6ler7xx+bRiHr7x0ozZwBMZ28CW3UcDAt4AbSd7h/yewTEF+X0qGvWjKONPPnYAO4DLReRSESkB7gfeCI15A/hO8vO9wC9Gy/6fiagw0aF4cVs733r63/lg7wmnfLNASbHF1+sqsUQCJQzO9A1v9T6RYuGjzFwG5xmWzLmQyotKU85bgpf9m+m9jzSJT1GU7BnxDiBp0/9D4N9wwkCfN8a0iMg6oMEY8wbwT8D/EpF9OCv/+0d63+GSS/RJY1sXf/7aroDQq7nkQr57w6U88dMW4raT0bp2teMEfaWxY1hzmkhO33QY4MCJLwIdzyyBb1wzn8vnlnttIId671oiWVHGlrzkARhjfgb8LHRsre/zeeBb+bjXSMkl+sSJ/Akem14So6Wz23MGJ2xDS2c3Xb39aZvBDLOj44TDfXwBz0/wry1H+L3rF6ckgkW9dy2RrChjy6TLBM6GbKNP3A5g/qzg+66rprkz2Mi9+VA35aVFaVfyU0H4u1iAZQm2MV6hODcMNNN719wARRlbZJxM8VmxfPly09DQMK5zaGzr4plf7ufomfPcd101D66sdhKdfM3hXRv3RK0HNLu8hJNf9I9YUQlw4+Wzub1+Hn/xRrOnOEtiwoaI5jFRaJtERRkZItJojFmezdhJWQ0031yzcCZr76wLVALdkKwE6sb/28akOHMninP3RE9uwl+ABTMvSDlucHol1FaWY/uU4UDC8OSWz7Jy7C5bVKGVQRVljJiSJqBsydTh6vFbr/AqXMZiFrYxxBMGEbjL5/x8d88xdnWc5siZvpR7LLlkOvuPny0YR3DMEkzSfJOOW6+ay6M3XRbYBYGjGLp6+9naejLwPAb4cO8Jdhw4pY5dRSkgdAcQwh+GmClk1HUo/9Fttdy7rMpb9YqBk2edJue1leV8sPd4pPAviQm3Xjm3YIT/bVfN5SePXM/Lj/4m11TNiBxTEhMevekyAKpnTQ+ci1lCRVkJh06foygW/NMyQP/A4DuMCvfUEFBFGVt0B+AjvOJfu7ouo1PSdWw2tnWxuamD/gEbG/jVPmfFe/fSKvoGUqODBLh24Uye/SB94tjMMS4LcW4gwZ4jPXT19ied3c2BdpECfPeGS9nc1MHGhoOB5jaWwEM3XuqVeJYI+5dlCatqZkXurAANAVWUMUYVgI/wir+rtz/rkFF3N/Dkls/41QRvZ6UAAA5BSURBVL4T3jVO9PRFrvANsP3A0Cvd/hF0D5teEuNsf251iD7Ye4IP9jrlmSyB2rnlgeqmBnjuw89J2Ca11ocIZ/ri3vsLDxAGm+pElYIGNARUUcYYVQA+osIQhwpddM1EFWUldPU6Jh+/X6C4yOKS8tK0heIyUVYS4/xAYljfPTeQSGn4LmRfbM42pJS2FogU/uCUwxDw3p9YEtghPPKVGs+Jni7cs8hyQm5jyZ2CoiijiyoAH7kkiblmjL4B26sG6pou/NfYc6QHSyRjKekoamZP5zeqK9gSak6fDbaB6xbNpLGty1MgBqfYXMwSLi4r5vgX/VlfL2YJd35pHq99PFjm6crKcj479gUmWd/n7qVV3L20KvDsbzUf5vb6eZ7wh+j33NjWlcweM0TajxRFyTuqAEJkmyTmmotcwew3XbhhjI1tXax7s8Vrgm5sQ3SucCoxC/7j4OlAElqufHzwNN+4Zn5AaIOzij91tj9QtnmoXUblRaX81pVznQxfkuWvgdXXzPd6JYQ7f7k//YLfT/g9b209STzhvM9EQk1AijIWaBTQMHHNGO4LFCAWCzqK/T4FYwzLF2cWaAIsnlXGsuqKEQl/cOLvd6SJqEkYN38Br8hduj+GY2f62LCtnZcbDlJcZBFLFsSrKCvJOWkrXaSP+z5jvuJ6iqKMLroDGCauGWNzUwcbd7Q7RdBCZp6KshJvZW0bmFlWkvG6bnnlg6eGLrGcLYe6zmU30MDVVTOYc9EFCHC6t59TvQO0Hv/Ce4Z4wnD/yoUsmDnNK+4WFbWTLps3U16FdghTlLFFFcAIWLaowisY5/YE9psuunr7AyaT2eWlKbWFojCAf0g2TuSYJYgQcLzmgo3TuMXQjSVO97MrK8sDOs2yhHuWVqWN5HHNXumEfKZib9ohTFHGFjUBjZChTBeramZRWjxoMrlnaRUvrbmeFYsrPHs6yZ8xSV86ImYJj36lJu0cLIGl1TP5rdo5rFhckdKSMRMzy4qxhIA/oz9us7Oj2ztmCfzWf5qT8bmHSp5TM4+iFBa6AxghQ5kuli2qYO3qOi8Sxj13U+0cGpLROZbADUtmUzfvIi/GHoJh9AMJp+PYo1+pSek4JsnBO5I5BSVFFv/tm1fT0tlN86FudnYEK5dGMe+iC+jtixNPOE7qqMb0toF3Pj3K+3uPe6v6qOdeVTMrbTinmnkUpbBQBZAH0pku3Cig/rjNjgOnqK0sB/BKJSQSThz87fXzvGghyxIqZ1wQsN27gnTZogqqZ01n4452Wg6fwdgGCVUhHYjbvNV8mMdvvYK7l1YF6vXELLDtVOG++0gPJUUW969cSP38GbR0dvPS9nbC1iRDluWdhwjnVDOPohQOqgBGkbA5ZHNTB5uaOugbsLEEvnrlXB656bLAOIwJCH9LYFn1TDY1Od3GHlw5WJLaTUJ74o1mT8iHC69tWHM9m5o6PPPShu3tkZU/EwmbBTOneWGbdfNn8MPXdkUqgZcbDnJ30hcQZnNTBwNxDedUlImAKoBRJJzx6q6gXSfvL359jEduuswxm8Qsr8sYOM6ZmjkX0nr8C7Yf6GL7gS5+sqOdjY/8JkDAjFJbWc6mpg5aDnUnHbmpOQng9De2xKn2GdYBsZgT1vnUu/u8Inb3r6jmWE8fAmz59KiXwxAPObtdGtu6eLnhoHftcFhsFFr/X1HGD1UAo0jY5g3wkx0HPZONbYy3ik8kgsK/KCZ8fuJsIPonbsPTv9zPB3uPp0TZhCNwRJzKnC6uOSqR7GP8G9UzaTjQ5Qnra6pmeOaqIktAhHjC9jJ8/QrDkuhSDVtbT3rPJsC9y6J3Cf45ufO1RFh3V33axDFFUfLPlI4CGovyw/4GJ8sWVbDurnqKLPFKR1SUlbD29WbP1CLADZfP5lvLFxLVrW1Xx2nPXNQ3YHumIfdea1fXYYlTA2jdmy3es/kzlxO2SXH0NrZ1DZqrEoYBn+lKgNJiJ+ktFooG8uOP8ilNRj0Nhd/0FbcNa19v1lLQijKGTNkdwFDx6qPJgyurA83Rt7aeDBRsi1nC47deAeD5C/yC+uiZweqiBnilscOLzQcn98BOmnj64zZPbvmM2+vn0Xn6nNOrN+GcCwta2zjF2ARnh4CI56R2a/xsaurglcYOtuwORgO55Brls6pmVqBOkp3GtKQoyugwIgUgIn8L3An0A/uB/2yMOR0x7gDQAySAeLb9KkeTTElJo0k4Eqa02KJ/wMayxCuZDHjCtKKshLeaD3tlpv2r97Cj1R+GaZvBEs9CMCjH4Kzm3Z1HSZHFE3fWeVVNgRRB7tbrGeqd5RLl4+6I1r7ejG0bSoo1N0BRxpKR7gDeAf7MGBMXkR8Bfwb8aZqxtxhjTozwfnnD76CNxSwOnT5HY1vXuKw+715ahSR/psuMra0sH2w/GVqhpwhNEcJu3mSAEbGkEihONrxp7uyOvLd7fz/pyjiPhPCOSFf/ijJ2SJSdeVgXEvkd4F5jzLcjzh0AlueqAJYvX24aGhryMr8o3C5eLzc4jtmx7kSVrRkqqu8ApK7QAZ56dx9/9/aetKUjbrtqLtcsnJlVuet09XxUWCtK4SIijdlaWfLpA/gusDHNOQO8LSIGeMYYsz6P9x02bi2fuG3GxRSUjRkqUwG1MOGdzU1XXMJ7e44RTxiKiyweuemyjM+X6Z4q+BVlcpBRAYjIFqAy4tQPjDGvJ8f8AIgDL6S5zA3GmE4RmQO8IyK/Nsa8n+Z+a4A1ANXVox8SOBpmjXzeO1dfRbpmK7ms2sfTP6IoytiRUQEYY24d6ryIfAdYDXzVpLEnGWM6kz+PicirwAogUgEkdwfrwTEBZZrfSBnP+jTZ3DsfCirXVft4KkVFUcaOEfkAROTrwN8DNxljjqcZMx2wjDE9yc/vAOuMMf+a6fqj7QOYKOSygs9XeKva+hVlYjKWPoB/BEpxzDoAW40xj4rIfOA5Y8wdwFzg1eT5IuDFbIS/MkguK3g13yiKki0jUgDGmCVpjncCdyQ/twLXjOQ+U5XhrMLzYb4ZryQ5RVHGlimbCVzoDFcI58OnobsIRZkaqAIoUEYihEcaqqlOYEWZGqgCKFBGWwgPZV7Szl2KMjXIWybwaDDVo4BGKxJHbfyKMnkZr0xgJc+MVtat2vgVRYEp3g9gquKv2682fkWZuugOYAqiNn5FUUAVwJRFi7opiqImIEVRlCmKKgBFUZQpiioARVGUKYoqAEVRlCmKKgBFUZQpiioARVGUKUpBl4IQkeNA2xjfdjaQU/P6AmKizl3nPbbovMeesZz7ImPMJdkMLGgFMB6ISEO2dTQKjYk6d5332KLzHnsKde5qAlIURZmiqAJQFEWZoqgCSGX9eE9gBEzUueu8xxad99hTkHNXH4CiKMoURXcAiqIoU5QprwBE5G9F5Nci8omIvCoiM9OMOyAiu0TkYxEZtzZlIvJ1EdkjIvtE5HsR50tFZGPy/DYRWTz2s0xFRBaKyLsisltEWkTk/4wYc7OIdCff8ccisnY85hom07+9OPxfyXf+iYgsHY95huZU63uPH4vIGRF5PDSmYN63iDwvIsdEpNl37GIReUdE9iZ/RpavFZHvJMfsFZHvjN2s08574sgUY8yU/g+4DShKfv4R8KM04w4As8d5rjFgP1ADlAA7gatCY/4r8HTy8/3AxvF+x8m5zAOWJj+XA59FzP1m4M3xnmuu//bAHcBbgACrgG3jPeeIv5sjOPHhBfm+ga8AS4Fm37H/Dnwv+fl7Uf9vAhcDrcmfFcnPFeM87wkjU6b8DsAY87YxJp78dStQNZ7zycAKYJ8xptUY0w+8BNwVGnMX8C/Jz68AXxURGcM5RmKMOWyMaUp+7gF2AwvGd1Z54y7gx8ZhKzBTROaN96R8fBXYb4wZ66TKrDHGvA+cCh32/y3/C/DNiK/+NvCOMeaUMaYLeAf4+qhNNETUvCeSTJnyCiDEd3FWclEY4G0RaRSRNWM4Jz8LgIO+3ztIFaLemOQfYTdQUD0fk2ap3wC2RZy+XkR2ishbIlI3phNLT6Z/+2z+XcaT+4ENac4V4vt2mWuMOQzOAgKYEzGm0N99QcuUKdERTES2AJURp35gjHk9OeYHQBx4Ic1lbjDGdIrIHOAdEfl1UvuPJVEr+XAYVzZjxg0RuRDYBDxujDkTOt2EY6b4QkTuAF4DLh/rOUaQ6d++YN+5iJQA3wD+LOJ0ob7vXCjkd1/wMmVK7ACMMbcaY+oj/nOF/3eA1cC3TdI4F3GNzuTPY8CrOOaYsaYDWOj7vQroTDdGRIqAGaRurccFESnGEf4vGGM2h88bY84YY75Ifv4ZUCwis8d4milk8W+fzb/LeHE70GSMORo+Uajv28dR15SW/HksYkxBvvuJIlOmhAIYChH5OvCnwDeMMb1pxkwXkXL3M46Tpzlq7CizA7hcRC5NruzuB94IjXkDcCMh7gV+ke4PcCxJ+iH+CdhtjPn7NGMqXX+FiKzA+fs8OXazjJxTNv/2bwD/WzIaaBXQ7ZouCoAHSGP+KcT3HcL/t/wd4PWIMf8G3CYiFckooduSx8aNCSVTxtMDXQj/AftwbIgfJ/9zI2jmAz9Lfq7BibjZCbTgmI7Ga7534ETQ7HfnAazD+WMDuAB4Oflc24Ga8X7HyXndiLM1/8T3ru8AHgUeTY75w+T73YnjPPvNAph35L99aN4CPJX8N9kFLB/veSfnVYYj0Gf4jhXk+8ZRUoeBAZxV/R/g+K5+DuxN/rw4OXY58Jzvu99N/r3vA/5zAcx7wsgUzQRWFEWZokx5E5CiKMpURRWAoijKFEUVgKIoyhRFFYCiKMoURRWAoijKFEUVgKIoyhRFFYCiKMoURRWAoijKFOX/BwEhpoKzvQ0+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = [np.random.randn(1000, 2), np.random.randn(1000, 2)+5, np.random.randn(1000, 2)+10]\n",
    "X = np.concatenate(X, axis=0)\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(X[:, 0], X[:, 1], '.')\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/polaris-nn/anaconda3/envs/NN/lib/python3.6/site-packages/matplotlib/figure.py:459: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
      "  \"matplotlib is currently using a non-GUI backend, \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "choice_cluster, initial_state = lloyd(X, 3)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for i in range(3):\n",
    "\tindices = np.where(choice_cluster==i)[0]\n",
    "\tselected = X[indices]\n",
    "\tax.plot(selected[:, 0], selected[:, 1], '.', label=str(i))\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f0e58036c50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cv2\n",
    "img = cv2.imread(\"./portrait.jpeg\")[:,:,0]\n",
    "plt.axis(\"off\")\n",
    "plt.imshow(img, cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f0e5375c860>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = img.reshape(-1, 1)\n",
    "choice_cluster, initial_state = lloyd(data.astype(np.float32), 2)\n",
    "data = choice_cluster.reshape(img.shape)*255\n",
    "plt.imshow(data, cmap='gray')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
